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Finding the Fourth Proportional to 5,795.16, 7,997.26 and 3,142.52

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Solution

The fourth proportional to 5,795.16, 7,997.26 and 3,142.52 is: 4,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.16 : 7,997.26 = 3,142.52 : x
  2. Step 2: Convert to fraction form
    5,795.16/7,997.26 = 3,142.52/x
  3. Step 3: Cross multiply
    5,795.16x = 7,997.26 × 3,142.52
  4. Step 4: Simplify right side
    5,795.16x = 25,131,549.50
  5. Step 5: Solve for x
    x = 25,131,549.50/5,795.16
  6. Step 6: Final answer
    x = 4,336.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.